Global Convergence of a Modified Two-Parameter Scaled BFGS Method with Yuan-Wei-Lu Line Search for Unconstrained Optimization

Table 4

The numerical results for problems 35–51.

MTPSBFGS-YWL					SBFGS-WWP
No.	Dim	NI	NFG	CPU time	NI	NFG	CPU time
35	300	4	8	0	4	8	0
35	900	7	14	1.59375	7	14	1.59375
35	2700	11	22	46.875	11	22	46.40625
36	300	24	59	0.359375	26	64	0.46875
36	900	23	66	6.359375	20	58	5.59375
36	2700	18	49	82.359375	19	46	85.5625
37	300	136	275	1.65625	136	275	1.6875
37	900	235	473	67.40625	235	473	67.359375
37	2700	441	886	2240.015625	442	888	2234.09375
38	300	12	27	0.125	12	27	0.0625
38	900	12	26	2.8125	12	26	2.921875
38	2700	15	33	64.90625	15	33	64.65625
39	300	37	80	0.40625	37	80	0.46875
39	900	43	89	10.890625	43	91	11.265625
39	2700	26	52	116.703125	26	52	116.078125
40	300	532	1329	7.40625	958	1925	12.96875
40	900	546	1364	150.921875	1000	2008	274.5625
40	2700	644	1605	3124.65625	1000	2014	4810.296875
41	300	18	41	0.1875	20	45	0.1875
41	900	19	43	4.828125	19	43	4.734375
41	2700	19	43	85.0625	19	43	84.875
42	300	19	65	0.15625	16	57	0.078125
42	900	4	21	0.046875	4	21	0.046875
42	2700	4	21	0.578125	4	21	0.515625
43	300	22	48	0.265625	25	54	0.234375
43	900	23	50	5.84375	27	58	6.984375
43	2700	25	54	114.328125	29	62	133.78125
44	300	38	80	0.453125	39	82	0.546875
44	900	36	76	9.703125	43	90	11.5
44	2700	39	82	180.453125	46	96	212.125
45	300	17	40	0.171875	18	42	0.28125
45	900	17	40	4.265625	18	42	4.65625
45	2700	18	42	80.171875	19	44	85.09375
46	300	104	255	1.5625	60	126	0.875
46	900	141	354	41.203125	87	180	24.796875
46	2700	164	418	829.3125	116	238	586.296875
47	300	37	80	0.734375	36	78	0.71875
47	900	44	95	14.640625	44	95	14.78125
47	2700	13	31	64.21875	13	31	63.9375
48	300	26	52	0.296875	26	52	0.3125
48	900	48	96	12.890625	48	96	12.890625
48	2700	22	47	99.546875	22	47	99.96875
49	300	76	154	0.953125	76	154	0.859375
49	900	133	268	37.203125	134	270	37.59375
49	2700	232	466	1161.109375	234	470	1176.921875
50	300	76	154	1.234375	75	152	1.328125
50	900	132	266	38.859375	132	266	38.53125
50	2700	231	464	1165.1875	232	466	1170
51	300	23	48	0.296875	23	48	0.3125
51	900	23	48	5.890625	23	48	5.859375
51	2700	23	48	102.484375	23	48	103.453125